#### Solution for 9 is what percent of 36:

9:36*100 =

(9*100):36 =

900:36 = 25

Now we have: 9 is what percent of 36 = 25

Question: 9 is what percent of 36?

Percentage solution with steps:

Step 1: We make the assumption that 36 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={36}.

Step 4: In the same vein, {x\%}={9}.

Step 5: This gives us a pair of simple equations:

{100\%}={36}(1).

{x\%}={9}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{36}{9}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{9}{36}

\Rightarrow{x} = {25\%}

Therefore, {9} is {25\%} of {36}.

#### Solution for 36 is what percent of 9:

36:9*100 =

(36*100):9 =

3600:9 = 400

Now we have: 36 is what percent of 9 = 400

Question: 36 is what percent of 9?

Percentage solution with steps:

Step 1: We make the assumption that 9 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={9}.

Step 4: In the same vein, {x\%}={36}.

Step 5: This gives us a pair of simple equations:

{100\%}={9}(1).

{x\%}={36}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{9}{36}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{36}{9}

\Rightarrow{x} = {400\%}

Therefore, {36} is {400\%} of {9}.

Calculation Samples